What is the 2011th term of the arithmetic sequence −4, −1, 2, 5, . . . , where each term after the first is 3 more than the preceding term?( remember -4 is the first term of the sequence.)

(I posted this before but it was the wrong answer)

2 answers

I answered this before

you start with -4

then add 3 , 2010 times

-4 + 6030 is the 2011th term
-4,-1,2,5 there all adding 3

You want to subtract 3 to -4 to find the 0th term

-4-3= -7

So the equation is y=-7+3x

Sub in 2011 for x

y=-7+3*2011
y=6026